Written Instructions:
For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..
For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.
Leave your answers in the simplest form or correct to two decimal places.
| 1) If 2258 sq.m. of land can be tilled by 17 workers in 8 days , how many workers are neede to till 5932 sq.m. of land in 12 days. workers Answer:_______________ |
| 2) If 2037 sq.m. of land can be tilled by 20 workers in 10 days , how many workers are neede to till 4600 sq.m. of land in 13 days. workers Answer:_______________ |
| 3) If 2840 sq.m. of land can be tilled by 16 workers in 10 days , how many workers are neede to till 4784 sq.m. of land in 12 days. workers Answer:_______________ |
| 4) If 2193 sq.m. of land can be tilled by 16 workers in 9 days , how many workers are neede to till 5089 sq.m. of land in 13 days. workers Answer:_______________ |
| 5) If 2410 sq.m. of land can be tilled by 17 workers in 9 days , how many workers are neede to till 5018 sq.m. of land in 14 days. workers Answer:_______________ |
| 6) If 2888 sq.m. of land can be tilled by 20 workers in 10 days , how many workers are neede to till 4905 sq.m. of land in 14 days. workers Answer:_______________ |
| 7) If 2868 sq.m. of land can be tilled by 17 workers in 7 days , how many workers are neede to till 5587 sq.m. of land in 12 days. workers Answer:_______________ |
| 8) If 2733 sq.m. of land can be tilled by 18 workers in 5 days , how many workers are neede to till 4551 sq.m. of land in 14 days. workers Answer:_______________ |
| 9) If 2114 sq.m. of land can be tilled by 19 workers in 10 days , how many workers are neede to till 4759 sq.m. of land in 15 days. workers Answer:_______________ |
| 10) If 2913 sq.m. of land can be tilled by 20 workers in 5 days , how many workers are neede to till 5373 sq.m. of land in 15 days. workers Answer:_______________ |
| 1) If 2258 sq.m. of land can be tilled by 17 workers in 8 days , how many workers are neede to till 5932 sq.m. of land in 12 days. Answer: 30 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2258 to 5932.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 8 to 12 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 17 = 2.62710363153 x 0.666666666667 x 17 = 30 workers |
| 2) If 2037 sq.m. of land can be tilled by 20 workers in 10 days , how many workers are neede to till 4600 sq.m. of land in 13 days. Answer: 35 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2037 to 4600.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 10 to 13 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 20 = 2.25822287678 x 0.769230769231 x 20 = 35 workers |
| 3) If 2840 sq.m. of land can be tilled by 16 workers in 10 days , how many workers are neede to till 4784 sq.m. of land in 12 days. Answer: 22 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2840 to 4784.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 10 to 12 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 16 = 1.68450704225 x 0.833333333333 x 16 = 22 workers |
| 4) If 2193 sq.m. of land can be tilled by 16 workers in 9 days , how many workers are neede to till 5089 sq.m. of land in 13 days. Answer: 26 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2193 to 5089.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 9 to 13 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 16 = 2.32056543548 x 0.692307692308 x 16 = 26 workers |
| 5) If 2410 sq.m. of land can be tilled by 17 workers in 9 days , how many workers are neede to till 5018 sq.m. of land in 14 days. Answer: 23 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2410 to 5018.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 9 to 14 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 17 = 2.08215767635 x 0.642857142857 x 17 = 23 workers |
| 6) If 2888 sq.m. of land can be tilled by 20 workers in 10 days , how many workers are neede to till 4905 sq.m. of land in 14 days. Answer: 24 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2888 to 4905.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 10 to 14 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 20 = 1.69840720222 x 0.714285714286 x 20 = 24 workers |
| 7) If 2868 sq.m. of land can be tilled by 17 workers in 7 days , how many workers are neede to till 5587 sq.m. of land in 12 days. Answer: 19 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2868 to 5587.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 7 to 12 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 17 = 1.9480474198 x 0.583333333333 x 17 = 19 workers |
| 8) If 2733 sq.m. of land can be tilled by 18 workers in 5 days , how many workers are neede to till 4551 sq.m. of land in 14 days. Answer: 11 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2733 to 4551.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 5 to 14 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 18 = 1.66520307355 x 0.357142857143 x 18 = 11 workers |
| 9) If 2114 sq.m. of land can be tilled by 19 workers in 10 days , how many workers are neede to till 4759 sq.m. of land in 15 days. Answer: 29 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2114 to 4759.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 10 to 15 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 19 = 2.25118259224 x 0.666666666667 x 19 = 29 workers |
| 10) If 2913 sq.m. of land can be tilled by 20 workers in 5 days , how many workers are neede to till 5373 sq.m. of land in 15 days. Answer: 12 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2913 to 5373.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 5 to 15 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 20 = 1.84449021627 x 0.333333333333 x 20 = 12 workers |